506897100 has 54 divisors (see below), whose sum is σ = 1588843620. Its totient is φ = 135172320.

The previous prime is 506897087. The next prime is 506897113. The reversal of 506897100 is 1798605.

506897100 is a `hidden beast` number, since 506 + 89 + 71 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (506897087) and next prime (506897113).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 280710 + ... + 282509.

It is an arithmetic number, because the mean of its divisors is an integer number (29423030).

Almost surely, 2^506897100 is an apocalyptic number.

506897100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

506897100 is an abundant number, since it is smaller than the sum of its proper divisors (1081946520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

506897100 is a wasteful number, since it uses less digits than its factorization.

506897100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563239 (or 563229 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 506897100 is about 22514.3754077256. The cubic root of 506897100 is about 797.3333607535. Note that the first 4 decimals are identical.

The spelling of 506897100 in words is "five hundred six million, eight hundred ninety-seven thousand, one hundred".